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43234322343234 = 231123239464925633
BaseRepresentation
bin10011101010010010001100…
…11011001110010101000010
312200002011100021000122212120
421311021012123032111002
521131322343004440414
6231541323512505110
712051401545255341
oct1165110633162502
9180064307018776
1043234322343234
1112859633934470
124a231270ab196
131b17c96121c69
14a967a399db58
154ee955c082a9
hex2752466ce542

43234322343234 has 128 divisors (see below), whose sum is σ = 98867672064000. Its totient is φ = 12476082769920.

The previous prime is 43234322343209. The next prime is 43234322343263.

43234322343234 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686653682 + ... + 1686679314.

It is an arithmetic number, because the mean of its divisors is an integer number (772403688000).

Almost surely, 243234322343234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43234322343234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49433836032000).

43234322343234 is an abundant number, since it is smaller than the sum of its proper divisors (55633349720766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43234322343234 is a wasteful number, since it uses less digits than its factorization.

43234322343234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30560.

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 4323432 and 2343234, that added together give a palindrome (6666666).

The spelling of 43234322343234 in words is "forty-three trillion, two hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 239 253 478 506 717 759 1434 1518 2629 4649 5258 5497 7887 9298 10994 13947 15774 16491 25633 27894 32982 51139 51266 60467 76899 102278 106927 120934 153417 153798 181401 213854 281963 306834 320781 362802 563926 589559 641562 845889 1111111 1176197 1179118 1691778 1768677 2222222 2352394 3333333 3528591 3537354 6126287 6485149 6666666 7057182 12222221 12252574 12970298 18378861 19455447 24444442 25555553 36666663 36757722 38910894 51111106 67389157 73333326 76666659 119167817 134778314 140904601 153333318 202167471 238335634 281111083 281809202 357503451 404334942 422713803 562222166 715006902 843333249 845427606 1310845987 1549950611 1686666498 2621691974 2740859791 3099901222 3932537961 4649851833 5481719582 7865075922 8222579373 9299703666 16445158746 28481108263 30149457701 56962216526 60298915402 85443324789 90448373103 170886649578 180896746206 313292190893 626584381786 655065490049 939876572679 1310130980098 1879753145358 1965196470147 3930392940294 7205720390539 14411440781078 21617161171617 43234322343234